Randomness - June 2008, All Stages

Problems

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Sorting Shapes

Age 5 to 7 Challenge Level:

This activity challenges you to make collections of shapes. Can you give your collection a name?

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Shut the Box

Age 5 to 7 Challenge Level:

An old game but lots of arithmetic!

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Sorting Numbers

Age 5 to 7 Challenge Level:

Use the interactivity to sort these numbers into sets. Can you give each set a name?

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Birds in the Garden

Age 5 to 11 Challenge Level:

This activity asks you to collect information about the birds you see in the garden. Are there patterns in the data or do the birds seem to visit randomly?

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Three Spinners

Age 7 to 11 Challenge Level:

These red, yellow and blue spinners were each spun 45 times in total. Can you work out which numbers are on each spinner?

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How Random!

Age 7 to 11 Challenge Level:

Explore this interactivity and see if you can work out what it does. Could you use it to estimate the area of a shape?

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Misunderstanding Randomness

Age 11 to 14 Challenge Level:

Which of these ideas about randomness are actually correct?

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Can't Find a Coin?

Age 11 to 14 Challenge Level:

Can you generate a set of random results? Can you fool the random simulator?

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Distribution Differences

Age 14 to 16 Challenge Level:

How could you compare different situation where something random happens ? What sort of things might be the same ? What might be different ?

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Introducing Distributions

Age 14 to 16 Challenge Level:

When five dice are rolled together which do you expect to see more often, no sixes or all sixes ?

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Coin Lines

Age 14 to 16 Challenge Level:

If a coin rolls and lands on a set of concentric circles what is the chance that the coin touches a line ?

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Which Spinners?

Age 14 to 18 Challenge Level:

Can you work out which spinners were used to generate the frequency charts?

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Data Matching

Age 14 to 18 Challenge Level:

Use your skill and judgement to match the sets of random data.

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The Monte Carlo Method

Age 16 to 18 Challenge Level:

Estimate areas using random grids

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Random Squares

Age 16 to 18 Challenge Level:

What is a random pattern?

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Scale Invariance

Age 16 to 18 Challenge Level:

By exploring the concept of scale invariance, find the probability that a random piece of real data begins with a 1.

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Random Inequalities

Age 16 to 18 Challenge Level:

Can you build a distribution with the maximum theoretical spread?